INSIGHTS INTO DIGITAL-FILTERS MADE AS THE SUM OF 2 ALLPASS FUNCTIONS

被引:29
作者
WILLSON, AN
ORCHARD, HJ
机构
[1] Electrical Engineering Department, School of Engineering and Applied Science, University of California, Los Angeles, CA
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1995年 / 42卷 / 03期
基金
美国国家科学基金会;
关键词
Digital filters;
D O I
10.1109/81.376877
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The exact equivalence of the response of a resistance-terminated lossless analog lattice filter to that of the algebraic sum of two allpass functions is discussed, culminating in a theorem giving simple necessary and sufficient conditions for a transfer function to be realized in this way. It is shown how various basic analog circuit relationships and properties possess direct counterparts in the realm of digital filtering. The importance of using the well-known Characteristic function of analog filter theory for designing digital filters as the sum or difference of two allpass functions is emphasized.
引用
收藏
页码:129 / 137
页数:9
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